LCM of 193, 238, 379, 658, 142
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 193, 238, 379, 658, 142 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 193, 238, 379, 658, 142. So, keep reading to learn more.
Given numbers are 193,238,379,658,142
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 193,238,379,658,142 is 58093786282.
Find LCM of 193,238,379,658,142 with Prime Factorization
| 2 | 193, 238, 379, 658, 142 |
| 7 | 193, 119, 379, 329, 71 |
| 193, 17, 379, 47, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 193 x 17 x 379 x 47 x 71 = 58093786282
Therefore, the lowest common multiple of 193,238,379,658,142 is 58093786282.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
193 x 238 x 379 x 658 x 142 = 1626626015896
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
193 : 1, 193
238 : 1, 2, 7, 14, 17, 34, 119, 238
379 : 1, 379
658 : 1, 2, 7, 14, 47, 94, 329, 658
142 : 1, 2, 71, 142
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 193,238,379,658,142, is 1.
Now, the common factors can be found like this.
193:193
238:2x 7x 17
379:379
658:2x 7x 47
142:2x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 7 = 28
Therefore, the value for common factors is 28.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 1626626015896/(1x28)
LCM = 1626626015896/28
LCM = 58093786282
Thus, we can understand that the LCM of 193,238,379,658,142 is 58093786282.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 193, 238, 379, 658, 142
1. What is the LCM of 193, 238, 379, 658, 142?
Answer: LCM of 193, 238, 379, 658, 142 is 58093786282.
2. How to calculate the LCM of 193, 238, 379, 658, 142?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 193, 238, 379, 658, 142.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.